potato1320
potato1320 potato1320
  • 01-12-2020
  • Mathematics
contestada

Set up and solve an equation to find the measure of each missing angle.

Set up and solve an equation to find the measure of each missing angle class=

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akposevictor
akposevictor akposevictor
  • 06-12-2020

Answer:

<A = 76°

<B = 63°

<C = 41°

Plug in the value of x

<C = 34 + 7

<C = 41°

Step-by-step explanation:

[tex] 63 + (2x + 8) + (x + 7) = 180 [/tex] (sum of ∆)

Solve for x

[tex] 63 + 2x + 8 + x + 7 = 180 [/tex]

Add like terms

[tex] 78 + 3x = 180 [/tex]

Subtract 78 from each side

[tex] 78 + 3x - 78 = 180 - 78 [/tex]

[tex] 3x = 102 [/tex]

Divide both sides by 3

x = 34

<A = 2x + 8

Plug in the value of x

<A = 2(34) + 8 = 76°

<B = 63°

<C = x + 7

Plug in the value of x

<C = 34 + 7

<C = 41°

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